多元周期卷积类借助于卷积算子的平均逼近  

APPROXIMATION OF CONVOLUTION CLASS OF SEVERAL VARIABLES BY CONVOLUTION OPERATORS

作　　者：曾光奇 文胜友[1] 

机构地区：[1]武汉纺织工学院,韩山师范学院

出　　处：《湖北大学学报（自然科学版）》1995年第4期386-392,共7页Journal of Hubei University：Natural Science

摘　　要：对于多元周期卷积类借助于卷积算子的一致逼近与平均逼近来说，不等式仍然成立．在此文中讨论了不等式为等式的各种充分及必要条件．ineguality has been proved to be true for uniform approximation and mean approximation of comvolution calss of several vaviables by convolution opperators. Some sufficient and necessary conditions which ensure the sign of equality in inequality have been investigated.

关 键 词：卷积类 卷积算子 逼近度 平均逼近 多元周期卷积 

分 类 号：O174.41[理学—数学]